####THIS CHUNK WILL NEED TO BE ADJUSTED TO READ FROM GITHUB DATA###
#THIS CHUNK MAKES MORE SENSE TO MOVE AFTER FUNCTIONS ARE GENERATED
#IT IS LOCATED HERE FOR VISIBILITY ONLY, ONCE MOVED TO GITHUB, RELOCATE TO A MORE LOGICAL
#LOCATION IN THE CODE AS DESIRED
getwd()
## [1] "C:/Users/jeffb/Desktop/Life/personal-projects/COVID"
#read in full DSHS data with county and TSA information
full.dshs<-read.csv("combined-datasets/county.csv")#change path as needed
tsa.dshs<-read.csv("combined-datasets/tsa.csv")#change path as needed
rt.data.clean<-function(covid.data)#note: mydata will be either full.dshs or tsa.dshs data
{
library(dplyr)
library(tidyr)
library(reshape2)
#check the variable types of covid.data
#(comment out when running, this is for testing only)
#str(covid.data)
#keep variables from this list if they are in the data set
#(county, date, population, TSA_Name, cases_daily, Population_DSHS, Population_Census)
covid.data<-covid.data[,names(covid.data)%in%
c("County", #name of texas county
"Date", #date of data recorded
"TSA_Name", #name of texas TSA group for county
"TSA",
"Metro_Area", #indicateor of metro/nonmetro county
"Cases_Daily", #daily new cases
"Population_DSHS")] #population for county per Census estimates
#Note: Census data is from 2010, these values are projections
#from that Census as provided by the Census Bureau
#change Date variable to date format
covid.data$Date<-as.Date(covid.data$Date)
#change cases_daily to numeric - if not already numeric
covid.data$Cases_Daily<-as.numeric(covid.data$Cases_Daily)
#change any cases_daily below zero to zero
#NOTE: We shouldn'te actually have cases_daily below zero,
#these are a result of data problems related to how cases are counted
#we will have to address this in our data as this will cause
#potential issues with rt estimates
covid.data<-covid.data%>%mutate(Cases_Daily=ifelse(Cases_Daily<0, 0, Cases_Daily))
return(covid.data)
}
#separate county, metro, TSA and State data into separate Data frames
rt.data.organize<-function(mycounty, mytsa){
library(dplyr)
library(tidyr)
#call the rt.data.clean function on mydata
cleaned.county<-rt.data.clean(mycounty)
cleaned.tsa<-rt.data.clean(mytsa)
#create metro.df by mutating by grouping by Metro
metro.temp<-cleaned.county%>%
group_by(Metro_Area,Date)%>%
mutate(metro_cases_daily=sum(Cases_Daily, na.rm=TRUE))%>%#generate variable of state daily cases
mutate(metro_pop_DSHS=sum(Population_DSHS, na.rm=TRUE))%>%#generate state population_DSHS variable
dplyr::select(Date,Metro_Area, metro_cases_daily, metro_pop_DSHS)%>%#select only variables of interest
distinct()#keep only distinct rows (this will drop repeated rows, now that we have only state level va
metro.df<-data.frame(Date=metro.temp$Date,
Metro_Area=metro.temp$Metro_Area,
Cases_Daily=metro.temp$metro_cases_daily,
Population_DSHS=metro.temp$metro_pop_DSHS)
#Drop TSA_Name from county data frame
county.df<-cleaned.county%>%dplyr::select(-TSA_Name, -Metro_Area)
#create TSA.df, use rt.data.clean function
TSA.df<-rt.data.clean(mytsa)
#create state.df
#at the state level we want daily new cases, and population variables from DSHS and Census data
state.temp<-cleaned.tsa%>%
group_by(Date)%>%
mutate(state_cases_daily=sum(Cases_Daily, na.rm=TRUE))%>%#generate variable of state daily cases
mutate(state_pop_DSHS=sum(Population_DSHS, na.rm=TRUE))%>%#generate state population_DSHS variable
dplyr::select(Date,state_cases_daily, state_pop_DSHS)%>%#select only variables of interest
distinct()#keep only distinct rows (this will drop repeated rows, now that we have only state level vars)
state.df<-data.frame(Date=state.temp$Date,
Cases_Daily=state.temp$state_cases_daily,
Population_DSHS=state.temp$state_pop_DSHS)
#return a list of the three dataframes generated
return(list(county=county.df, TSA=TSA.df, state=state.df, metro=metro.df))
}
rt.df.extraction<-function(Rt.estimate.output){
#first convert named vector back to dataframe
#reorder and rename columns from the R0.estimate output
rt.df<-setNames(stack(Rt.estimate.output$estimates$TD$R)[2:1], c('Date', 'Rt'))
#extract the upper and lower limits of the Rt 95% confidence intervals, these will be lists
CI.lower.list<-Rt.estimate.output$estimates$TD$conf.int$lower
CI.upper.list<-Rt.estimate.output$estimates$TD$conf.int$upper
#use unlist function to format as vector
CI.lower <- unlist(CI.lower.list, recursive = TRUE, use.names = TRUE)
CI.upper <- unlist(CI.upper.list, recursive = TRUE, use.names = TRUE)
#add the upper and lower bounds to the dataframe
rt.df$lower<-CI.lower
rt.df$upper<-CI.upper
rt.df$Date = as.Date(rt.df$Date)
return(rt.df)
}
#############################
#Remove this code later, for testing purposes only
#creating test county
#testcounty.df<-county.daily%>%subset(County=="Archer")
#testcounty.rt<-covid.rt(testcounty.df)
#mydata<-testcounty.df
#Test the covid.function on TSA subset
# #TSA.G<-TSA.daily%>%subset(TSA_Name=="Panhandle RAC")
###############################
#Function to generate Rt estimates, need to read in data frame and population size
covid.rt<-function(mydata){
library(R0)
#change na values to 0
mydata<-mydata%>%replace(is.na(.),0)
#create a variable that is the sum of Cases_Daily
sum.daily.cases<-sum(mydata$Cases_Daily)
#create a vector of new cases
mydata.new<-pull(mydata, Cases_Daily)
#create a vector of dates
date.vector<-pull(mydata, Date)
#create a named numerical vector using the date.vector as names of new cases
#Note: this is needed to run R0 package function estimate.R()
names(mydata.new)<-c(date.vector)
#create the generation time
##### NOTE: THIS MAY NEED MODIFICATION ONCE MORE INFORMATIONIS AVAILABLE ####
#gen.time<-generation.time("lognormal", c(4.0, 2.9))#verify these values and distribution/update as needed
#gen.time<-generation.time("lognormal", c(4.7,2.9)) #Nishiura
#Tapiwa, Ganyani "Esimating the gen interval for Covid-19":
# gen.time<-generation.time("gamma", c(5.2, 1.72)) #Singapore
#gen.time<-generation.time("gamma", c(3.95, 1.51)) #Tianjin
gen.time<-generation.time("gamma", c(3.96, 4.75))
#get DSHS population and census population
pop.DSHS<-mydata$Population_DSHS[1]
#Find min.date, max.date and row number of max.date
min.date<-min(mydata$Date)
max.date<-max(mydata$Date)
# str(mydata)
#get row number of March 9 and first nonzero entry
#find max row between the two (this will be beginning of rt data used)
march9.row<-which(mydata$Date=="2020-03-09")
first.nonzero<-min(which(mydata$Cases_Daily>0))
last.nonzero<-max(which(mydata$Cases_Daily>0))
minrow<-max(march9.row,first.nonzero)
#Set last row that will be used, either todays date or last nonzero row
j<-as.integer(min(last.nonzero, max.date))
if(is.na(minrow)){
rt.DSHS.df<-data.frame(Date=as.Date(mydata$Date), Rt=rep(NA, j), lower=rep(NA, j), upper=rep(NA, j))
}
if(sum.daily.cases<=50){
k=length(mydata$Date)
rt.DSHS.df<-data.frame(Date=as.Date(mydata$Date), Rt=rep(NA, k), lower=rep(NA, k), upper=rep(NA, k))
}
#only move forward if both previous error catch options are false
if(is.na(minrow)==FALSE & sum.daily.cases>50){
#get the row number for the mindrow date
i<-minrow
#reduce the vector to be rows from min date (March 9 or first nonzero case) to current date
mydata.newest<-mydata.new[i:j]
rt.DSHS<-estimate.R(mydata.newest,
gen.time,
#begin=as.integer(1),
#end=total.days,
methods=c("TD"),
pop.size=pop.DSHS,
nsim=1000)
rt.DSHS.df<-rt.df.extraction(rt.DSHS)
}
rt.out = subset(rt.DSHS.df, Date > as.Date('2020-03-09'))
return(rt.out)
}
#run covid.rt function on state level data
#(this will be a data frame output)
state.rt.df<-covid.rt(state.daily)
## Warning in est.R0.TD(epid = c(`2020-03-09` = 7, `2020-03-10` = 3, `2020-03-11` =
## 3, : Simulations may take several minutes.
## Warning in est.R0.TD(epid = c(`2020-03-09` = 7, `2020-03-10` = 3, `2020-03-11` =
## 3, : Using initial incidence as initial number of cases.
########## KABLE TABLES CAN BE COMMENTED OUT WHEN RUN IN GIT ##############
# library(kableExtra)
# county.rt.df[1:25,]%>%kable(caption="Texas County Level RT Estimates")%>%kable_styling(full_width=FALSE)
# metro.rt.df[1:25,]%>%kable(caption="Texas Metro Level RT Estimates")%>%kable_styling(full_width=FALSE)
# TSA.rt.df[1:25,]%>%kable(caption="Texas TSA RT Estimates")%>%kable_styling(full_width = FALSE)
# state.rt.df[1:25,]%>%kable(caption="Texas State RT Estimates")%>%kable_styling(full_width=FALSE)
#NOTE: FILE DESTINATION WILL NEED TO BE UPDATED FOR EACH OF THESE TO
#MATCH DIRECTORY IN YOUR WORKING DIRECTORY
write.csv(county.rt.df, file="statistical-output/rt/county_rt.csv", row.names=FALSE)
write.csv(metro.rt.df, file="statistical-output/rt/metro_rt.csv", row.names=FALSE)
write.csv(TSA.rt.df, file="statistical-output/rt/tsa_rt.csv", row.names=FALSE)
write.csv(state.rt.df, file="statistical-output/rt/state_rt.csv", row.names=FALSE)
#ts.rt.data.clean function will clean data, dropping unwanted variables
#note: mydata will be either full.dshs or tsa.dshs data
ts.data.clean<-function(covid.data) {
library(dplyr)
library(tidyr)
library(reshape2)
# str(covid.data)
#keep variables from this list if they are in the data set
#(county, date, population, TSA_Name, Cases_Daily, Population_DSHS, Population_Census)
covid.data<-covid.data[,names(covid.data)%in%
c("County", #name of texas county
"Date", #date of data recorded
"TSA",
"TSA_Name", #name of texas TSA group for county
"Metro_Area", #indicateor of metro/nonmetro county
"Cases_Daily", #daily new cases
"Cases_Cumulative",
"Population_DSHS")] #population for county per DSHS data
#Note: Census data is from 2010, these values are projections
#from that Census as provided by the Census Bureau
#change Date variable to date format
covid.data$Date<-as.Date(covid.data$Date)
#change Cases_Daily to numeric - if not already numeric
covid.data$Cases_Daily<-as.numeric(covid.data$Cases_Daily)
#change any Cases_Daily below zero to zero
covid.data<-covid.data%>%mutate(Cases_Daily=ifelse(Cases_Daily<0, 0, Cases_Daily))
return(covid.data)
}
#separate county, metro, TSA and State data into separate Data frames
ts.data.organize<-function(mycounty, mytsa){
library(dplyr)
library(tidyr)
### COUNTY ###
#call the ts.data.clean function on mydata
cleaned.county<-ts.data.clean(mycounty)
# drop NA dates
cleaned.county<-subset(cleaned.county, !is.na(Date) & Date>=as.Date('2020-03-04'))
#Drop TSA_Name from county data frame
county.df<-cleaned.county%>%dplyr::select(-TSA_Name, -Metro_Area)
county.df$Level = 'County'
colnames(county.df)[1] = 'Level_Name'
### METRO ###
#create metro.df by mutating by grouping by Metro
metro.temp<-cleaned.county%>%
group_by(Metro_Area,Date)%>%
mutate(metro_Cases_Daily=sum(Cases_Daily, na.rm=TRUE))%>%#generate variable of state daily cases
mutate(metro_Cases_Cumulative=sum(Cases_Cumulative, na.rm=TRUE))%>%#generate variable of state daily cases
mutate(metro_pop_DSHS=sum(Population_DSHS, na.rm=TRUE))%>%#generate state population_DSHS variable
dplyr::select(Date,Metro_Area, metro_Cases_Daily, metro_Cases_Cumulative, metro_pop_DSHS)%>%#select only variables of interest
distinct()#keep only distinct rows (this will drop repeated rows, now that we have only state level va
metro.df<-data.frame(Date=metro.temp$Date,
Level = 'metro',
Level_Name=metro.temp$Metro_Area,
Cases_Daily=metro.temp$metro_Cases_Daily,
Cases_Cumulative = metro.temp$metro_Cases_Cumulative,
Population_DSHS=metro.temp$metro_pop_DSHS)
# drop NA dates
metro.df<-subset(metro.df, !is.na(Date) & Date>=as.Date('2020-03-04'))
### TSA ###
TSA.df<-ts.data.clean(mytsa)
TSA.df<-subset(TSA.df, Date>=as.Date('2020-03-04'))
TSA.df$Level = 'TSA'
colnames(TSA.df)[2] = 'Level_Name'
### STATE ###
#create state.df
#at the state level we want daily new cases, and population variables from DSHS and Census data
state.temp<-TSA.df%>%
group_by(Date)%>%
mutate(state_Cases_Daily=sum(Cases_Daily, na.rm=TRUE))%>%#generate variable of state daily cases
mutate(state_Cases_Cumulative=sum(Cases_Cumulative, na.rm=TRUE))%>%#generate variable of state Cumulative cases
mutate(state_pop_DSHS=sum(Population_DSHS, na.rm=TRUE))%>%#generate state population_DSHS variable
dplyr::select(Date,state_Cases_Daily, state_Cases_Cumulative, state_pop_DSHS)%>%#select only variables of interest
distinct()#keep only distinct rows (this will drop repeated rows, now that we have only state level vars)
state.df<-data.frame(Date=state.temp$Date,
Level = 'State',
Level_Name = 'Texas',
Cases_Daily=state.temp$state_Cases_Daily,
Cases_Cumulative=state.temp$state_Cases_Cumulative,
Population_DSHS=state.temp$state_pop_DSHS)
state.df<- subset(state.df, Date>=as.Date('2020-03-04'))
#return a list of the three dataframes generated
return(list(county=county.df, TSA=TSA.df, state=state.df, metro=metro.df))
}
library(forecast)
## Warning: package 'forecast' was built under R version 3.6.3
## Registered S3 method overwritten by 'xts':
## method from
## as.zoo.xts zoo
## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo
##
## Attaching package: 'forecast'
## The following object is masked from 'package:nlme':
##
## getResponse
library(ggplot2)
library(astsa)
## Warning: package 'astsa' was built under R version 3.6.3
##
## Attaching package: 'astsa'
## The following object is masked from 'package:forecast':
##
## gas
library(forecast)
library(zoo)
##
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric
library(ggplot2)
library(fpp2)
## Warning: package 'fpp2' was built under R version 3.6.3
## Loading required package: fma
## Warning: package 'fma' was built under R version 3.6.3
##
## Attaching package: 'fma'
## The following objects are masked from 'package:astsa':
##
## chicken, sales
## The following objects are masked from 'package:MASS':
##
## cement, housing, petrol
## Loading required package: expsmooth
## Warning: package 'expsmooth' was built under R version 3.6.3
##
## Attaching package: 'fpp2'
## The following object is masked from 'package:astsa':
##
## oil
library(gridExtra)
##
## Attaching package: 'gridExtra'
## The following object is masked from 'package:dplyr':
##
## combine
covid.arima.forecast<-function(mydata)
{
maxdate<-max(mydata$Date)
mindate <-min(mydata$Date)
prediction.period<-10 #this can be changed as desired
if(max(mydata$Cases_Daily>=5, na.rm = TRUE))
{
#for the time series, you need a start day, which is the year, and the day number -
#we need to double check how this works exactly
my.timeseries<-ts(mydata$Cases_Daily)
#d=0 restricts first differencing to 0 so that daily cases aren't differenced
#get a fit model using the best ARIMA from auto.arima
arima.fit<-forecast::auto.arima(my.timeseries, d=0)
#use predict() on the fit model
# prediction.period is how many more days to forecast
# 10 day forecast
arima.forecast<-forecast::forecast(arima.fit, h = prediction.period)
#auto correlation function
# diagnostics
acf<-ggAcf(my.timeseries, lag.max=30)
pacf<-ggPacf(my.timeseries, lag.max=30)
grid.arrange(acf, pacf, nrow=2)
ggsave(paste0('statistical-output/time-series/diagnostics/', mydata$Level[1],'/', mydata$Level_Name[1], '.png'))
#return a dataframe of the arima model(Daily cases by date)
#and forecasted values ***NOT SURE HOW THIS WILL WORK***
arima.out<-data.frame(Date = seq(mindate, maxdate + 10, by = 'days'),
Cases_Daily = c(my.timeseries, arima.forecast[['mean']]),
CI_Lower = c(rep(NA, times = length(my.timeseries)), arima.forecast[['lower']][, 2]),
CI_Upper = c(rep(NA, times = length(my.timeseries)), arima.forecast[['upper']][, 2]))
} else {
arima.out<-data.frame(Date = seq(mindate, maxdate + 10, by = 'days'),
Cases_Daily = c(mydata$Cases_Daily, rep(NA, times = 10)),
CI_Lower = rep(NA, times = length(mydata$Date) + 10),
CI_Upper = rep(NA, times = length(mydata$Date) + 10)
)
}
return(arima.out)
}
#get county forecasts using covid.arima.forecast function
#load nlme package
library(nlme)
#apply the covid.arima.forecast function to the county.Daily dataframe by county
#note that the output will be a list of dataframes
county.arima.output<-nlme::gapply(county.Daily, FUN = covid.arima.forecast, groups=county.Daily$Level_Name)
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
#load data.table package
library(data.table)
county.arima.df<-data.table::rbindlist(county.arima.output, idcol=TRUE)
colnames(county.arima.df)[1] = 'County'
#get metro forecasts using covid.arima.forecast function
#load nlme package
library(nlme)
#apply the covid.arima.forecast function to the metro.Daily dataframe by metro
#note that the output will be a list of dataframes
metro.arima.output<-nlme::gapply(metro.Daily, FUN = covid.arima.forecast, groups=metro.Daily$Level_Name)
## Saving 7 x 5 in image
## Saving 7 x 5 in image
#load data.table package
library(data.table)
metro.arima.df<-data.table::rbindlist(metro.arima.output, idcol=TRUE)
colnames(metro.arima.df)[1] = 'Metro_Area'
#ge#load nlme package
library(nlme)
#apply the covid.arima.forecast function to the TSA.Daily dataframe by TSA
#note that the output will be a list of dataframes
TSA.arima.output<-nlme::gapply(TSA.Daily, FUN = covid.arima.forecast, groups=TSA.Daily$Level_Name)
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
## Saving 7 x 5 in image
#load data.table package
library(data.table)
TSA.arima.df<-data.table::rbindlist(TSA.arima.output, idcol=TRUE)
colnames(TSA.arima.df)[1] = 'TSA'
TSA.arima.df = merge(TSA.arima.df, unique(TSA.daily[, c('TSA', 'TSA_Name')]), by = c('TSA'))
#get Texas forecasts using covid.arima.forecast function
texas.arima.df<-covid.arima.forecast(state.Daily)
## Saving 7 x 5 in image
#export arima results into .csv files
write.csv(texas.arima.df, 'statistical-output/time-series/state_timeseries.csv', row.names = F)
write.csv(TSA.arima.df, 'statistical-output/time-series/tsa_timeseries.csv', row.names = F)
write.csv(county.arima.df, 'statistical-output/time-series/county_timeseries.csv', row.names = F)
write.csv(metro.arima.df, 'statistical-output/time-series/metro_timeseries.csv', row.names = F)
library(lubridate)
##
## Attaching package: 'lubridate'
## The following objects are masked from 'package:data.table':
##
## hour, isoweek, mday, minute, month, quarter, second, wday, week,
## yday, year
## The following object is masked from 'package:base':
##
## date
cumcases.TSA <- TSA.Daily %>% dplyr::select(Date,Level_Name, Cases_Cumulative)
cumcases.TSA$Date <- ymd(cumcases.TSA$Date)
latestdate <- max(cumcases.TSA$Date)
earliestdate <- latestdate - 14
middate <- latestdate-7
week2 <- subset(cumcases.TSA, Date==latestdate, select=Cases_Cumulative) -
subset(cumcases.TSA, Date==middate, select=Cases_Cumulative)
week1 <- subset(cumcases.TSA, Date==middate, select=Cases_Cumulative) -
subset(cumcases.TSA, Date==earliestdate, select=Cases_Cumulative)
current_ratio <- (week2/week1)[,1]
#current_ratio[week1<10] <- NA
current_ratio[current_ratio<0] <- NA
tsa_current_ratio_dat <- data.frame(TSA=subset(cumcases.TSA, Date==latestdate, select=Level_Name)[,1],
current_ratio=current_ratio, current_ratio_cat = cut(current_ratio, breaks=c(0,0.5,.9,1.1,1.5,2,4,8,max(current_ratio))))
# add TSA name
tsa_current_ratio_dat = merge(tsa_current_ratio_dat, unique(TSA.daily[, c('TSA', 'TSA_Name')]), by = 'TSA')
cumcases.county <- county.Daily %>% dplyr::select(Date,Level_Name, Cases_Cumulative)
cumcases.county$Date <- ymd(cumcases.county$Date)
latestdate <- max(cumcases.county$Date, na.rm=T)
earliestdate <- latestdate - 14
middate <- latestdate-7
week2 <- subset(cumcases.county, Date==latestdate, select=Cases_Cumulative) -
subset(cumcases.county, Date==middate, select=Cases_Cumulative)
week1 <- subset(cumcases.county, Date==middate, select=Cases_Cumulative) -
subset(cumcases.county, Date==earliestdate, select=Cases_Cumulative)
current_ratio <- (week2/week1)[,1]
current_ratio[week1<10] <- NA
current_ratio[current_ratio<0] <- NA
county_current_ratio_dat <- data.frame(County=subset(cumcases.county, Date==latestdate, select=Level_Name)[,1], current_ratio=current_ratio, current_ratio_cat = cut(current_ratio, breaks=c(0,0.5,.9,1.1,1.5,2,4,8,max(current_ratio))))
cumcases.metro <- metro.Daily %>% dplyr::select(Date, Level_Name, Cases_Cumulative)
cumcases.metro$Date <- ymd(cumcases.metro$Date)
latestdate <- max(cumcases.metro$Date, na.rm=T)
earliestdate <- latestdate - 14
middate <- latestdate-7
week2 <- subset(cumcases.metro, Date==latestdate, select=Cases_Cumulative) -
subset(cumcases.metro, Date==middate, select=Cases_Cumulative)
week1 <- subset(cumcases.metro, Date==middate, select=Cases_Cumulative) -
subset(cumcases.metro, Date==earliestdate, select=Cases_Cumulative)
current_ratio <- (week2/week1)[,1]
current_ratio[current_ratio<0] <- NA
metro_current_ratio_dat <- data.frame(Metro_Area=subset(cumcases.metro, Date==latestdate, select=Level_Name)[,1], current_ratio=current_ratio, current_ratio_cat = cut(current_ratio, breaks=c(0,0.5,.9,1.1,1.5,2,4,8,max(current_ratio))))
cumcases.state <- state.Daily %>% dplyr::select(Date, Cases_Cumulative)
cumcases.state$Date <- ymd(cumcases.state$Date)
latestdate <- max(cumcases.state$Date, na.rm=T)
earliestdate <- latestdate - 14
middate <- latestdate-7
week2 <- subset(cumcases.state, Date==latestdate, select=Cases_Cumulative) -
subset(cumcases.state, Date==middate, select=Cases_Cumulative)
week1 <- subset(cumcases.state, Date==middate, select=Cases_Cumulative) -
subset(cumcases.state, Date==earliestdate, select=Cases_Cumulative)
current_ratio <- (week2/week1)[,1]
current_ratio[current_ratio<0] <- NA
state_current_ratio_dat <- data.frame(current_ratio=current_ratio, current_ratio_cat = cut(current_ratio, breaks=c(0,0.5,.9,1.1,1.5,2,4,8,max(current_ratio))))
#export arima results into .csv files
write.csv(state_current_ratio_dat, 'statistical-output/standard-stats/case-ratios/state_case_ratio.csv', row.names = F)
write.csv(tsa_current_ratio_dat,'statistical-output/standard-stats/case-ratios/tsa_case_ratio.csv', row.names = F)
write.csv(county_current_ratio_dat, 'statistical-output/standard-stats/case-ratios/county_case_ratio.csv', row.names = F)
write.csv(metro_current_ratio_dat,'statistical-output/standard-stats/case-ratios/metro_case_ratio.csv', row.names = F)
Omitted fow now, Dr. Yaseen is processing this in Tableau
require(ggplot2); require(tidyverse); require(lubridate); require(gridExtra)
## Loading required package: tidyverse
## -- Attaching packages --------------------------------------- tidyverse 1.3.0 --
## v tibble 2.1.3 v stringr 1.4.0
## v readr 1.3.1 v forcats 0.4.0
## v purrr 0.3.3
## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x lubridate::as.difftime() masks base::as.difftime()
## x dplyr::between() masks data.table::between()
## x nlme::collapse() masks dplyr::collapse()
## x gridExtra::combine() masks dplyr::combine()
## x lubridate::date() masks base::date()
## x dplyr::filter() masks stats::filter()
## x dplyr::first() masks data.table::first()
## x lubridate::hour() masks data.table::hour()
## x lubridate::intersect() masks base::intersect()
## x lubridate::isoweek() masks data.table::isoweek()
## x dplyr::lag() masks stats::lag()
## x dplyr::last() masks data.table::last()
## x lubridate::mday() masks data.table::mday()
## x lubridate::minute() masks data.table::minute()
## x lubridate::month() masks data.table::month()
## x lubridate::quarter() masks data.table::quarter()
## x lubridate::second() masks data.table::second()
## x MASS::select() masks dplyr::select()
## x lubridate::setdiff() masks base::setdiff()
## x purrr::transpose() masks data.table::transpose()
## x lubridate::union() masks base::union()
## x lubridate::wday() masks data.table::wday()
## x lubridate::week() masks data.table::week()
## x lubridate::yday() masks data.table::yday()
## x lubridate::year() masks data.table::year()
require(ggmap)
## Loading required package: ggmap
## Warning: package 'ggmap' was built under R version 3.6.3
## Google's Terms of Service: https://cloud.google.com/maps-platform/terms/.
## Please cite ggmap if you use it! See citation("ggmap") for details.
require(maps)
## Loading required package: maps
## Warning: package 'maps' was built under R version 3.6.3
##
## Attaching package: 'maps'
## The following object is masked from 'package:purrr':
##
## map
## The following object is masked from 'package:fma':
##
## ozone
## The following object is masked from 'package:astsa':
##
## unemp
require(mapdata)
## Loading required package: mapdata
## Warning: package 'mapdata' was built under R version 3.6.3
require(dplyr)
require(zoo)
require("Kendall")
## Loading required package: Kendall
## Warning: package 'Kendall' was built under R version 3.6.3
require(gridExtra)
library(tibble)
library(plyr)
## ------------------------------------------------------------------------------
## You have loaded plyr after dplyr - this is likely to cause problems.
## If you need functions from both plyr and dplyr, please load plyr first, then dplyr:
## library(plyr); library(dplyr)
## ------------------------------------------------------------------------------
##
## Attaching package: 'plyr'
## The following object is masked from 'package:maps':
##
## ozone
## The following object is masked from 'package:purrr':
##
## compact
## The following object is masked from 'package:lubridate':
##
## here
## The following object is masked from 'package:fma':
##
## ozone
## The following objects are masked from 'package:dplyr':
##
## arrange, count, desc, failwith, id, mutate, rename, summarise,
## summarize
library(randomForest)
## randomForest 4.6-14
## Type rfNews() to see new features/changes/bug fixes.
##
## Attaching package: 'randomForest'
## The following object is masked from 'package:gridExtra':
##
## combine
## The following object is masked from 'package:ggplot2':
##
## margin
## The following object is masked from 'package:dplyr':
##
## combine
# read files
## inflie dataset with county, date, case_daily and google mobility variables
county <- read.csv(file = 'combined-datasets/county.csv')
## inflie dataset including agegroup and race
county_demo=read.csv(file = 'combined-datasets/county_demo.csv')
##infile dateset with population by county
county_cases=read.csv(file ='original-sources/DSHS_county_cases.csv')
tsa = read.csv('original-sources/tsa_list.csv', header = F)[-1]
newcases.tsa=read.csv(file ='combined-datasets/tsa.csv')
#combine files and prepare each variables
# dataset1 newcasesdata---county, date, case_daily and google mobility variables into newcasesdata
newcasesdata=subset(county[, c(1:2,4,11:16)]) #extract county, date, case_daily and google mobility variables into newcasesdata
newcasesdata_case=subset(newcasesdata[,c(1:3)]) #county,data,casedaily
newcasesdata_morbility=subset(newcasesdata[,c(1,4:9)]) #google morbility
#dataset 2 basic population variables by county from census
county_agerace=subset(county_demo[, c(1:3,8:9,52:53)]) #county, year, agegp, census, black male, black femal, hispanic male, hispanic female. This file was ordered by county, year, age group, so we need to sum up each variables by county as the whole census population for following computation
county_agerace$black=(county_agerace$BA_MALE+county_agerace$BA_FEMALE)##new variable- black_census=black_male+black_female
county_agerace$hispanic=(county_agerace$H_MALE+county_agerace$H_FEMALE) #new variable-hispanic_census=hispanic_male+hiapanic_female
#2.1 build age dataset
county_age_long=subset(county_agerace[,c(1:3)]) #select age group and population variable
county_age_wide=spread(county_age_long, AGEGRP,TOT_POP) #convert longdata to wide data of age_group, colname is age group,and rowname is county name
#2.2 build matrix for race information
county_race= matrix(nrow = nrow(county_age_wide),ncol = 4)
colnames(county_race)=c('County','Census','black_census','hispanic_census')
county_race=data.frame(county_race)
county_race$County=county_age_wide$County #county variable
county_race$County=county_cases$County
county_race$Census=tapply(county_agerace[,3], county_agerace$County, FUN=sum)
county_race$black_census=tapply(county_agerace[,8], county_agerace$County, FUN=sum)
county_race$hispanic_census=tapply(county_agerace[,9], county_agerace$County, FUN=sum) #this county_race dataset has variables county, census, black_census, hispanic_census
county_race$black_per=county_race$black_census/county_race$Census*100 #new variable black_per
county_race$hispanic_per=county_race$hispanic_census/county_race$Census*100 #new variable hispanic_per
#up to here, county_race has county,census,black_census, hispanic_census, black_per, hispanic_per
county_race_per=county_race[,c(1:2,5:6)] #county_race has county, census, black_per, hispanic_per
county_modelvariables=merge(county_race_per, county_age_wide, by = 'County') #this is all the variables used for following modeling, including county, census, black_per, hispanic_per,age groups
county_newcases=merge(county_modelvariables,newcasesdata, by ='County') #this is the final conbined dataset with all the county
#the following are prepared for dataset 3
# TSA levels of model variables
tsa_long = reshape::melt(tsa, id = c('V2', 'V3'))
tsa_long_complete = subset(tsa_long, value != '')[, c(1, 2, 4)]
colnames(tsa_long_complete) = c('TSA', 'TSA_Name', 'County')
tsa_long_complete$County = trimws(tsa_long_complete$County)
tsa_merge= merge(county_modelvariables, tsa_long_complete, by = 'County', all = TRUE)
tsa_merge=tsa_merge[,c(1:23)] # merged dataset has county,census, black_per, hispanic_per, agegroups, tsa
tsa_merge$County=as.character(tsa_merge$County)
tsa_merge2=merge(county_race, tsa_long_complete, by = 'County', all = TRUE) #county,census, black_census,hispanic_census, black_per,hispanic_per, agegroups tsa
#dataset 3 build tsa matrix including alll the varibales same as county_modelvariables, computated by tsa : county, census, black_per, hispanic_per,age groups
tsa_modelvariable=tsa_merge[,c(23,2:22)]
tsa_modelvariable= matrix(nrow = 22,ncol = 22)
tsa_modelvariable=data.frame(tsa_modelvariable)
colnames(tsa_modelvariable)=colnames(county_modelvariables) #county, census, black_per, hispanic_per,age groups
tsa_modelvariable$County =c("A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V")#county --tsa
tsa_modelvariable[,2]=tapply(tsa_merge[,2], tsa_merge$TSA, FUN=sum) #census by tsa
tsa_modelvariable[,5]=tapply(tsa_merge[,5], tsa_merge$TSA, FUN=sum) #5-22 are age groups by tsa
tsa_modelvariable[,6]=tapply(tsa_merge[,6], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,7]=tapply(tsa_merge[,7], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,8]=tapply(tsa_merge[,8], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,9]=tapply(tsa_merge[,9], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,10]=tapply(tsa_merge[,10], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,11]=tapply(tsa_merge[,11], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,12]=tapply(tsa_merge[,12], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,13]=tapply(tsa_merge[,13], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,14]=tapply(tsa_merge[,14], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,15]=tapply(tsa_merge[,15], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,16]=tapply(tsa_merge[,16], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,17]=tapply(tsa_merge[,17], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,18]=tapply(tsa_merge[,18], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,19]=tapply(tsa_merge[,19], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,20]=tapply(tsa_merge[,20], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,21]=tapply(tsa_merge[,21], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,22]=tapply(tsa_merge[,22], tsa_merge$TSA, FUN=sum)
tsa_modelvariable[,3]=tapply(tsa_merge2[,3], tsa_merge2$TSA, FUN=sum) #black_census by tsa
tsa_modelvariable[,4]=tapply(tsa_merge2[,4], tsa_merge2$TSA, FUN=sum) #hispanic_census by tsa
tsa_modelvariable[,3]=tsa_modelvariable[,3]/tsa_modelvariable$Census*100 #black_per
tsa_modelvariable[,4]=tsa_modelvariable[,4]/tsa_modelvariable$Census*100 #hispanic_per
tsa_modelvariable$County= paste0("tsa",tsa_modelvariable$County) #change variables name , add tsa to each one
# dataset4 merge newcasesdata with tsa
tsa_newcasesdata=newcases.tsa[,c(2,1,5,12:17)]
colnames(tsa_newcasesdata)=colnames(newcasesdata) #county, date, case_daily,retail_recreation, grocery_pharmacy, parks, transit, workplaces, residential, tsa
tsa_newcasesdata$County= as.character(tsa_newcasesdata$County)
tsa_newcasesdata$Date=as.Date(tsa_newcasesdata$Date)
tsa_newcasesdata$County= paste0("tsa",tsa_newcasesdata$County)
# dataset 5 combing all modelvaribles used for the following function , including county and tsa. both dataset have same column.
# combing all newcasesdata used for the following function , including county and tsa. both dataset have same column.
#model_variables=dplyr::bind_rows(county_modelvariables,tsa_modelvariable) #final data1
#newcasesdata$County=as.character(newcasesdata$County)
#newcasesdata$Date=as.Date(newcasesdata$Date)
#newcasesdata=dplyr::bind_rows(newcasesdata,tsa_newcasesdata) #final data2
# create data with 4-week (28 days) windows---county
# TODO: check "provided 9398 variables to replace 21 variables"
newcasesdata$Date=as.Date(newcasesdata$Date)
newcasesdata_case=newcasesdata[,c(1:3)]
newcasesdata_case_wide= spread(newcasesdata_case, County,Cases_Daily) #convert long data to wide data of county
newcases=newcasesdata_case_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, cases_daily----county
newcases1=newcases[,-1]
datatrend.dat <- matrix(nrow=254*(nrow(newcases)-27), ncol=41)
datatrend.dat <- data.frame(datatrend.dat)
colnames(datatrend.dat) <- c(1:14, "ratio","MKteststat","MKpvalue","Spearteststat","Spearpvalue","Population","black_per","hispanic_per","age0_4","age10_14","age15_19","age20_24","age25_29","age30_34","age35_39","age40_44","age45_49","age5_9","age50_54","age55_59","age60_64","age65_69","age70_74","age75_79","age80_84","age85up","County")
datatrend.dat$County=rep(colnames(newcases1),nrow(newcases)-27)
#datatrend.dat$Population= ifelse(datatrend.dat$County == county_modelvariables$County, county_modelvariables$Census, NA)
datatrend.dat[,c(20:40)]=ifelse(datatrend.dat$County ==county_modelvariables$County, county_modelvariables[,c(2:22)], NA) #value population,black_per, hispanic_per and each group by county
## Warning in `[<-.data.frame`(`*tmp*`, , c(20:40), value =
## list(structure(c(58057L, : provided 10922 variables to replace 21 variables
# num.cycles is the number of 4-week windows within each TSA longitudinal data, after April 1, 2020.
num.cycles <- nrow(newcases)-27
for(i in 1:num.cycles){
for(j in 2:255){
datatrend.dat[(i+(j-1)*num.cycles),1:14] <- newcases[i:(i+13), j]
# The "outcome" here is the ratio of total new cases
# in the following two weeks to the total new cases
# in the previous two weeks (percentage increase/decrease)
datatrend.dat[(i+(j-1)*num.cycles),15] <- sum(newcases[(i+14):(i+27),j])/sum(newcases[i:(i+13), j])
}
}
# remove data that seems wrong (ratio of cases is negative). These are from row 4, tsa D
datatrend.dat <- subset(datatrend.dat, ratio>0)
for(i in 1:nrow(datatrend.dat)){
tmp <- MannKendall(datatrend.dat[i,1:14])
datatrend.dat[i,16:17] <- c(tmp$tau, tmp$sl)
tmp <- cor.test(1:14, as.numeric(datatrend.dat[i,1:14]), method="spearman")
datatrend.dat[i,18:19] <- c(tmp$estimate, tmp$p.value)
}
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(datatrend.dat[i, 1:14]), method =
## "spearman"): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## WARNING: Error exit, tauk2. IFAULT = 12
## Warning in cor(rank(x), rank(y)): the standard deviation is zero
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
## Warning in cor(rank(x), rank(y)): Cannot compute exact p-value with ties
#The following are to generate ratio2 to get bionary raio. ratio 3 to get three groups of ratio
datatrend.dat$ratio2=ifelse(datatrend.dat$ratio>1,1,0) #ratio 2:ratio>1,1;ratio<=1,0
datatrend.dat$ratio2=as.factor(datatrend.dat$ratio2) # ratio2 : categorial
datatrend.dat$ratio3=""
for (i in 1:length(datatrend.dat$ratio)){
if(datatrend.dat$ratio[i]<0.7){
datatrend.dat$ratio3[i]=0
} else if(datatrend.dat$ratio[i]>=0.7 & datatrend.dat$ratio[i]<1.3){
datatrend.dat$ratio3[i]=1
} else{
datatrend.dat$ratio3[i]=2
}
}
datatrend.dat$ratio3=as.factor(datatrend.dat$ratio3) #ratio3: three groups of ratio;
# TODO: check "provided 814 variables to replace 21 variables"
# create data with 4-week (28 days) windows---county
tsa_newcasesdata$Date=as.Date(tsa_newcasesdata$Date)
tsa_newcasesdata_case=tsa_newcasesdata[,c(1:3)]
tsa_newcasesdata_case_wide= spread(tsa_newcasesdata_case, County,Cases_Daily) #convert long data to wide data of tsa
tsa_newcases=tsa_newcasesdata_case_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, cases_daily----tsa
tsa_newcases1=tsa_newcases[,-1]
tsa_newcasesdata_retail=tsa_newcasesdata[,c(1:2,4)]
tsa_newcasesdata_retail_wide= spread(tsa_newcasesdata_retail, County,Retail_Recreation) #convert long data to wide data of tsa
tsa_retail=tsa_newcasesdata_retail_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, Retail_Recreation----tsa
tsa_newcasesdata_grocery=tsa_newcasesdata[,c(1:2,5)]
tsa_newcasesdata_grocery_wide= spread(tsa_newcasesdata_grocery, County,Grocery_Pharmacy) #convert long data to wide data of tsa
tsa_grocery=tsa_newcasesdata_grocery_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, Grocery_Pharmacy----tsa
tsa_newcasesdata_park=tsa_newcasesdata[,c(1:2,6)]
tsa_newcasesdata_park_wide= spread(tsa_newcasesdata_park, County,Parks) #convert long data to wide data of tsa
tsa_park=tsa_newcasesdata_park_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, Grocery_Pharmacy----tsa
tsa_newcasesdata_transit=tsa_newcasesdata[,c(1:2,7)]
tsa_newcasesdata_transit_wide= spread(tsa_newcasesdata_transit, County, Transit) #convert long data to wide data of tsa
tsa_transit=tsa_newcasesdata_transit_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, Grocery_Pharmacy----tsa
tsa_newcasesdata_workplace=tsa_newcasesdata[,c(1:2,8)]
tsa_newcasesdata_workplace_wide= spread(tsa_newcasesdata_workplace, County, Workplaces) #convert long data to wide data of tsa
tsa_workplace=tsa_newcasesdata_workplace_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, rkplace------tsa
tsa_newcasesdata_Residential=tsa_newcasesdata[,c(1:2,9)]
tsa_newcasesdata_Residential_wide= spread(tsa_newcasesdata_Residential, County,Residential) #convert long data to wide data of tsa
tsa_Residential=tsa_newcasesdata_Residential_wide %>% subset(Date>="2020-04-10") #generate newcases matrix:county, date, Residential----tsa
tsa_datatrend.dat <- matrix(nrow=22*(nrow(tsa_newcases)-27), ncol=47)
tsa_datatrend.dat <- data.frame(tsa_datatrend.dat)
colnames(tsa_datatrend.dat) <- c(1:14, "ratio","MKteststat","MKpvalue","Spearteststat","Spearpvalue","Retail_Recreation","Grocery_Pharmacy","Parks","Transit","Workplaces","Residential","Population","black_per","hispanic_per","age0_4","age10_14","age15_19","age20_24","age25_29","age30_34","age35_39","age40_44","age45_49","age5_9","age50_54","age55_59","age60_64","age65_69","age70_74","age75_79","age80_84","age85up","County")
tsa_datatrend.dat$County=rep(colnames(tsa_newcases1),nrow(tsa_newcases)-27)
#datatrend.dat$Population= ifelse(datatrend.dat$County == county_modelvariables$County, county_modelvariables$Census, NA)
tsa_datatrend.dat[,c(26:46)]=ifelse(tsa_datatrend.dat$County ==tsa_modelvariable$County, tsa_modelvariable[,c(2:22)], NA) #value, population,black_per, hispanic_per and each group by county
## Warning in `[<-.data.frame`(`*tmp*`, , c(26:46), value =
## list(structure(c(429309L, : provided 946 variables to replace 21 variables
tsa_num.cycles <- nrow(tsa_newcases)-27
for(i in 1:tsa_num.cycles){
for(j in 2:23){
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),1:14] <- tsa_newcases[i:(i+13), j]
# The "outcome" here is the ratio of total new cases
# in the following two weeks to the total new cases
# in the previous two weeks (percentage increase/decrease)
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),15] <- sum(tsa_newcases[(i+14):(i+27),j])/sum(tsa_newcases[i:(i+13), j])
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),20] =rollmean(tsa_retail[i:(i+13), j], k=14, align="right")
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),21] =rollmean(tsa_grocery[i:(i+13), j], k=14, align="right")
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),22] =rollmean(tsa_park[i:(i+13), j], k=14, align="right")
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),23] =rollmean(tsa_transit[i:(i+13), j], k=14, align="right")
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),24] =rollmean(tsa_workplace[i:(i+13), j], k=14, align="right")
tsa_datatrend.dat[(i+(j-1)*tsa_num.cycles),25] =rollmean(tsa_Residential[i:(i+13), j], k=14, align="right")
}
}
# remove data that seems wrong (ratio of cases is negative). These are from row 4, tsa D
#TODO: remove warnings and see if processing time is faster 'Cannot compute exact p-value with ties"
tsa_datatrend.dat <- subset(tsa_datatrend.dat, ratio>0)
for(i in 1:nrow(tsa_datatrend.dat)){
tmp <- MannKendall(tsa_datatrend.dat[i,1:14])
tsa_datatrend.dat[i,16:17] <- c(tmp$tau, tmp$sl)
tmp <- cor.test(1:14, as.numeric(tsa_datatrend.dat[i,1:14]), method="spearman")
tsa_datatrend.dat[i,18:19] <- c(tmp$estimate, tmp$p.value)
}
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
## Warning in cor.test.default(1:14, as.numeric(tsa_datatrend.dat[i, 1:14]), :
## Cannot compute exact p-value with ties
#The following are to generate ratio2 to get bionary raio. ratio 3 to get three groups of ratio
tsa_datatrend.dat$ratio2=ifelse(tsa_datatrend.dat$ratio>1,1,0) #ratio 2:ratio>1,1;ratio<=1,0
tsa_datatrend.dat$ratio2=as.factor(tsa_datatrend.dat$ratio2) # ratio2 : categorial
tsa_datatrend.dat$ratio3=""
for (i in 1:length(tsa_datatrend.dat$ratio)){
if(tsa_datatrend.dat$ratio[i]<0.7){
tsa_datatrend.dat$ratio3[i]=0
} else if(tsa_datatrend.dat$ratio[i]>=0.7 & tsa_datatrend.dat$ratio[i]<1.3){
tsa_datatrend.dat$ratio3[i]=1
} else{
tsa_datatrend.dat$ratio3[i]=2
}
}
tsa_datatrend.dat$ratio3=as.factor(tsa_datatrend.dat$ratio3) #ratio3 three groups of ratio;
set.seed(1)
train= sample(1:dim(datatrend.dat)[1],dim(datatrend.dat)[1]/2)
test=-train
datatrend.county.train=datatrend.dat[train,] #traiing set
datatrend.county.test=datatrend.dat[test,] #testing set
#logistic
glm.county.fit=glm(ratio2 ~ MKteststat+ MKpvalue+ Spearteststat+ Spearpvalue +Population + black_per +hispanic_per + age0_4 + age10_14 +age15_19+age20_24+ age25_29 + age30_34 + age35_39 + age40_44 + age45_49 + age5_9+ age50_54+ age55_59 + age60_64 + age65_69+ age70_74+ age75_79+ age80_84 + age85up, data=datatrend.county.train,family=binomial) #fit logistic model
summary(glm.county.fit) #summany of logistics model
##
## Call:
## glm(formula = ratio2 ~ MKteststat + MKpvalue + Spearteststat +
## Spearpvalue + Population + black_per + hispanic_per + age0_4 +
## age10_14 + age15_19 + age20_24 + age25_29 + age30_34 + age35_39 +
## age40_44 + age45_49 + age5_9 + age50_54 + age55_59 + age60_64 +
## age65_69 + age70_74 + age75_79 + age80_84 + age85up, family = binomial,
## data = datatrend.county.train)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.6960 -1.2005 0.9214 1.1302 1.7274
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 3.908e-01 1.173e-01 3.331 0.000867 ***
## MKteststat 1.540e+00 1.364e+00 1.129 0.258796
## MKpvalue -9.409e-01 5.931e-01 -1.586 0.112647
## Spearteststat -5.468e-01 1.090e+00 -0.502 0.615905
## Spearpvalue 8.108e-01 6.168e-01 1.315 0.188676
## Population 3.267e-07 6.660e-07 0.491 0.623773
## black_per -6.244e-03 6.691e-03 -0.933 0.350655
## hispanic_per -2.926e-03 1.813e-03 -1.614 0.106615
## age0_4 -1.416e-04 1.332e-04 -1.063 0.287692
## age10_14 -2.969e-04 2.221e-04 -1.336 0.181406
## age15_19 2.981e-04 1.303e-04 2.289 0.022106 *
## age20_24 -8.398e-05 5.175e-05 -1.623 0.104609
## age25_29 8.228e-05 1.234e-04 0.667 0.505042
## age30_34 -2.097e-04 2.320e-04 -0.904 0.365961
## age35_39 4.172e-04 2.760e-04 1.512 0.130601
## age40_44 -3.080e-04 2.502e-04 -1.231 0.218324
## age45_49 -1.861e-04 2.709e-04 -0.687 0.492167
## age5_9 2.379e-04 2.595e-04 0.916 0.359437
## age50_54 3.448e-04 3.194e-04 1.080 0.280313
## age55_59 -9.687e-05 2.842e-04 -0.341 0.733210
## age60_64 -8.505e-05 2.233e-04 -0.381 0.703287
## age65_69 1.873e-04 2.767e-04 0.677 0.498324
## age70_74 -1.975e-04 4.094e-04 -0.482 0.629554
## age75_79 1.724e-05 5.619e-04 0.031 0.975519
## age80_84 1.400e-05 5.961e-04 0.023 0.981262
## age85up -1.480e-04 3.235e-04 -0.457 0.647367
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 4793.4 on 3471 degrees of freedom
## Residual deviance: 4726.8 on 3446 degrees of freedom
## (516 observations deleted due to missingness)
## AIC: 4778.8
##
## Number of Fisher Scoring iterations: 4
glm.county.probs=predict(glm.county.fit, datatrend.county.test, type="response") #predict
glm.county.predict=rep("0",3399)
glm.county.predict[glm.county.probs > 0.5]="1" #round-off
#glm.county.predict=as.factor(glm.county.predict)
table(glm.county.predict, datatrend.county.test$ratio2)
##
## glm.county.predict 0 1
## 0 428 924
## 1 1073 1319
mean(glm.county.predict==datatrend.county.test$ratio2)
## [1] NA
#random forest
#rf.county.train=randomForest(ratio ~ MKteststat+ MKpvalue+ Spearteststat+ Spearpvalue +Population + black_per +hispanic_per + age0_4 + age10_14 +age15_19+age20_24+ age25_29 + age30_34 + age35_39 + age40_44 + age45_49 + age5_9+ age50_54+ age55_59 + age60_64 + age65_69+ age70_74+ age75_79+ age80_84 + age85up, data=datatrend.county.train, mtry=5, importance =TRUE)
#yhat.rf.county = predict(rf.county.train, newdata=datatrend.dat.rf[-train ,])
#mean((yhat.rf.county-datatrend.county.test)^2)
set.seed(1)
train= sample(1:dim(tsa_datatrend.dat)[1],dim(tsa_datatrend.dat)[1]/2)
test=-train
datatrend.tsa.train=tsa_datatrend.dat[train,] #traiing set
datatrend.tsa.test=tsa_datatrend.dat[test,] #testing set
#logistic
glm.tsa.fit=glm(ratio2 ~ MKteststat+ MKpvalue+ Spearteststat+ Spearpvalue +Population + black_per +hispanic_per + Retail_Recreation+ Grocery_Pharmacy + Parks + Transit +Workplaces+ Residential+age0_4 + age10_14 +age15_19+age20_24+ age25_29 + age30_34 + age35_39 + age40_44 + age45_49 + age5_9+ age50_54+ age55_59 + age60_64 + age65_69+ age70_74+ age75_79+ age80_84 + age85up, data=datatrend.tsa.train ,family=binomial) #fit logistic model
summary(glm.tsa.fit) #summany of logistics model
##
## Call:
## glm(formula = ratio2 ~ MKteststat + MKpvalue + Spearteststat +
## Spearpvalue + Population + black_per + hispanic_per + Retail_Recreation +
## Grocery_Pharmacy + Parks + Transit + Workplaces + Residential +
## age0_4 + age10_14 + age15_19 + age20_24 + age25_29 + age30_34 +
## age35_39 + age40_44 + age45_49 + age5_9 + age50_54 + age55_59 +
## age60_64 + age65_69 + age70_74 + age75_79 + age80_84 + age85up,
## family = binomial, data = datatrend.tsa.train)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -2.4102 -0.8869 0.4935 0.8166 1.6311
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 1.260e+01 1.538e+01 0.819 0.41283
## MKteststat -6.272e+00 4.306e+00 -1.457 0.14518
## MKpvalue -2.144e+00 1.635e+00 -1.312 0.18968
## Spearteststat 5.578e+00 3.263e+00 1.709 0.08738 .
## Spearpvalue 1.959e+00 1.654e+00 1.185 0.23618
## Population 1.952e-05 5.719e-05 0.341 0.73285
## black_per 3.232e-01 2.264e+00 0.143 0.88646
## hispanic_per -1.862e-01 3.074e-01 -0.606 0.54464
## Retail_Recreation 1.014e-01 7.921e-02 1.280 0.20045
## Grocery_Pharmacy -5.747e-02 5.368e-02 -1.071 0.28437
## Parks -1.261e-02 8.397e-03 -1.502 0.13313
## Transit -6.054e-02 2.204e-02 -2.747 0.00602 **
## Workplaces -1.407e-01 9.186e-02 -1.532 0.12557
## Residential -2.589e-01 3.011e-01 -0.860 0.38976
## age0_4 3.629e-03 1.460e-02 0.249 0.80364
## age10_14 5.805e-03 1.994e-02 0.291 0.77089
## age15_19 -5.806e-03 1.210e-02 -0.480 0.63144
## age20_24 2.540e-03 5.831e-03 0.436 0.66312
## age25_29 -3.754e-03 1.359e-02 -0.276 0.78235
## age30_34 1.909e-03 1.174e-02 0.163 0.87076
## age35_39 6.846e-04 6.402e-03 0.107 0.91484
## age40_44 -9.738e-03 1.414e-02 -0.689 0.49090
## age45_49 1.887e-02 3.942e-02 0.479 0.63210
## age5_9 -4.514e-03 2.255e-02 -0.200 0.84137
## age50_54 -1.155e-02 3.032e-02 -0.381 0.70338
## age55_59 6.267e-04 4.141e-03 0.151 0.87971
## age60_64 4.545e-04 3.774e-03 0.120 0.90414
## age65_69 -1.490e-03 6.521e-03 -0.228 0.81928
## age70_74 7.705e-03 2.070e-02 0.372 0.70972
## age75_79 -2.510e-02 6.635e-02 -0.378 0.70521
## age80_84 2.725e-02 6.913e-02 0.394 0.69348
## age85up -3.031e-03 6.396e-03 -0.474 0.63558
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 330.58 on 270 degrees of freedom
## Residual deviance: 277.47 on 239 degrees of freedom
## (196 observations deleted due to missingness)
## AIC: 341.47
##
## Number of Fisher Scoring iterations: 5
glm.tsa.probs=predict(glm.tsa.fit,datatrend.tsa.test,type="response") #predict
glm.tsa.predict=rep("0",401)
glm.tsa.predict[glm.tsa.probs > 0.5]="1" #round-off
#glm.county.predict=as.factor(glm.county.predict)
table(glm.tsa.predict, datatrend.tsa.test$ratio2)
##
## glm.tsa.predict 0 1
## 0 84 141
## 1 59 153
mean(glm.tsa.predict==datatrend.tsa.test$ratio2)
## [1] NA